Given:
y is directly proportional to x.
when
To find:
The equation that connects y with x.
Solution:
It is given that, y is directly proportional to x. So,
...(i)
Where, k is the constant of proportionality.
We have, when
. Substituting these values in (i), we get
Divide both sides by 5.
Substituting in (i), we get
Therefore, the required equation is .
Answer: It will about 1.88 hours or 1 hour 52.5 minutes to clean the stadium if they work together .
Step-by-step explanation:
Given : Time taken by Kevin to clean a stadium = 5 hours
Rate of work done by Kelvin =
Time taken by Chris to clean a stadium = 3 hours
Rate of work done by Chris =
Let t be the time taken by both of them to clean the stadium together.
According to the question , we have
Rate of work done together = Rate of work done by Kelvin+Rate of work done by Chris
hours
[∵ 1 hour = 60 minutes]
Hence, It will about 1.88 hours or 1 hour 52.5 minutes to clean the stadium if they work together .
Hello from MrBillDoesMath!
Answer:
Perimeter = 60
Height = 18/5
Discussion:
The diagonals of a rhombus bisect each other at right angles. So a rhombus can be viewed as the union of 4 congruent right triangles, each with legs (1/2)*18 = 9 and (1/2) *24 = 12. See attachment. This gives a hypotenuse length of 15 so the Perimeter = 4 *c = 60.
The height ( = altitude) of a rhombus is
= area / length of base
= (1/2) ( (18) * 24) /c
= (1/2) ( 18 * 24) / 60
= 18/5
Thank you,
MrB
